JEE Main 2022 — Ellipse Question with Solution
From: JEE Main 2022 (Online) 25th June Evening Shift
Question
The line y = x + 1 meets the ellipse at two points P and Q. If r is the radius of the circle with PQ as diameter then (3r)2 is equal to :
Choose an option
Show full solutionCorrect option: A
Step-by-step explanation
Let point (a, a + 1) as the point of intersection of line and ellipse.
So,
If roots of this equation are and .
So, and
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This is a previous-year question from JEE Main 2022, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.